Adaptive mesh generation for mould filling problems in resin transfer moulding

Composites Part A: Applied Science and Manufacturing

Volumn 34, Issue 9, 2003, Pages 813-834

  Bechet E ^a,b   Ruiz, E ^a   Trochu, F ^a   Cuilliere, J C ^b  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

^b UNIVERSITÉ DU QUÉBEC À TROIS RIVIÈRES   (Canada)

Author keywords

D. Thermal analysis; E. Resin transfer moulding (RTM); Finite elements

Indexed keywords

COMPUTER SIMULATION; FILLING; FINITE ELEMENT METHOD; THERMOANALYSIS;

MOULD FILLING;

RESIN TRANSFER MOLDING;

EID: 18544411629     PISSN: 1359835X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1359-835X(03)00199-4     Document Type: Article

References (42)

1. Adalsteinsson D., Sethian J.A. The fast construction of extension velocities in level set methods. J Comput Phys. 148:1999;2-22.
2. Ainsworth M., Oden J.T. A-posteriori error estimation in finite element analysis. 2000;Wiley, New York.
3. Albert M.R., O'neill K. Moving boundary-moving mesh analysis of phase change using finite elements with transfinite mappings. Int J Numer Meth Engng. 23:(4):1986;591-607.
4. Aliabadi S.K., Tezduyar T.E. Space-time finite element computation of compressible flows involving moving boundaries and interfaces. Comput Meth Appl Mech Engng. 107:1993;209-223.
5. Béchet E., Cuillière J.C., Trochu F. Generation of a finite element mesh from stereolithography (STL) files. Comput-Aided Des. 34:2002;1-17.
6. Béchet E., Ruiz E., Trochu F., Cuillière J.C. Remeshing algorithms applied to mould filling simulations in resin transfer moulding. J Reinforced Plast Compos. 2003;. in press.
7. Bohr E., Remacle J.F., Trochu F. Simulation of heat transfer and curing in resin transfer molding; 2002. Submitted for publication.
8. Bruschke M.V., Advani S.G. A finite element/control volume approach to mold filling in anisotropic porous media. Polym Compos. 11:(6):1990;398-405.
9. Bruschke M.V., Advani S.G. A numerical approach to model non-isothermal viscous flow through fibrous media with free surface. Int J Numer Meth Fluids. 19:1994;575-603.
10. Buscaglia G.C., Dari E.A. Anisotropic mesh optimization and its application in adaptivity. Int J Numer Meth Engng. 40:(22):1997;4119-4136.
11. Cairncross RA, Schunk PR, Baer TA, Rao RR, Sackinger PA. Finite element method for free surface flows of incompressible fluids in three dimensions. Part I. Boundary fitted mesh motion. Int J Numer Meth Fluids 2000; 33(3):375-403.
12. Calhoun D.R., Yalvaç S., Wetters D.G., Wu C.H., Wang T.J., Tsai J.T., Lee L.J. Mold filling analysis in resin transfer molding. Polym Compos. 17:(2):1996;251-264.
13. Chang W., Kikuchi N. An adaptive remeshing method in simulation of resin transfer molding (RTM) process. Comput Meth Appl Mech Engng. 112:1994;41-68.
14. Chen Y.F., Stelson K.A., Voller V.R. Prediction of filling time and vent location for resin transfer molds. J Compos Mater. 31:(11):1997;1141-1161.
15. Delaunay B. Sur la sphère vide. Bul Acad Sci URSS, Class Sci Nat. 1934;793-800.
16. Engelmann M.S. Finite element simulation of incompressible flow with moving boundaries. J Comput Math. 7:(2):1989;105-112.
17. George P.L., Borouchaki H. Delaunay triangulation and meshing: application to finite elements. 1998;Hermès, Paris. ISBN 2-86601-692-0.
18. Guyonvarch G., Audet M., Qian Y.-Y., Trochu F., Delaunay D. Validation of non isothermal resin transfer molding simulations. Composites. 14:1996;101-106.
19. Ji H., Chopp D., Dolbow J.E. A hybrid extended finite element/level set method for modeling phase transformations. Int J Numer Meth Engng. 54:(8):2002;1209-1233.
20. Kimmel R., Sethian J.A. Fast marching methods on triangulated domains. Proc Natl Acad Sci. 95:1998;8341-8435.
21. Maier R.S., Rohaly T.F., Advani S.G., Fickie K.D. A fast numerical method for isothermal resin transfer mold filling. Int J Numer Meth Engng. 39:1996;1405-1422.
22. Pain C.C., Umpleby A.P., de Oliveira C.R.E., Goddard A.J.H. Terahedral mesh optimisation and adaptivity for steady-state and transient finite element calculations. Comput Meth Appl Mech Engng. 190:2001;3771-3796.
23. Piegl L. On NURBS: a survey. IEEE Comput Graph Appl. 11:(1):1991;55-71.
24. Lesaint L., Raviart P. On a finite element method for solving the neutron transport equation. de Boor C. Mathematical aspects of finite elements in partial differential equations. 1974;Academic Press, New York.
25. Lin R.J., Lee L.J., Liou M.J. Mold filling and curing analysis liquid composite molding. Polym Compos. 14:(1):1993;71-81.
26. Muttin F., Coupez T., Bellet M., Chenot J.L. Lagrangian finite element analysis of time-dependent viscous free-surface flow using an automatic remeshing technique: application to metal casting flow. Int J Numer Meth Engng. 36:1993;2001-2015.
27. Ruppert J. A Delaunay refinement algorithm for quality 2-dimensional mesh generation. J Algorithms. 18:1994;548-585.
28. Sethian J.A. Fast marching level set method for monotonically advancing fronts. Proc Natl Acad Sci. 93:(4):1996;1591-1595.
29. Sethian J.A. Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision and materials science. 1999;Cambridge University Press, Cambridge.
30. Tou S.K.W. Mixed Eulerian-Lagrangian finite element analysis of transient flow with a moving boundary. Engng Comput. 7:(1):1990;75-78.
31. Trochu F. A contouring program based on dual kriging interpolation. Engng Comput. 9:1993;160-177.
32. Trochu F., Audet M., Gauvin R., Beguin Y. Non-isothermal analysis of mold filling in liquid composite molding. Fifth International Conference on Automated Composites (ICAC-97), Glasgow, UK. Fifth International Conference on Automated Composites (ICAC-97), Glasgow, UK. September 4-5, 1997.
33. Trochu F., Ferland P., Gauvin R. Functional requirements of a simulation software for liquid molding processes. Sci Engng Compos Mater. 6:(4):1997;209-218.
34. Trochu F., Gauvin R., Gao D.M. Numerical analysis of the resin transfer molding process by the finite element method. Adv Polym Technol. 12:(4):1993;329-342.
35. Tucker C.L., Dessenberger R.B. Governing equations for flow and heat transfer in stationary fiber beds. Advani S.G. Flow and rheology in polymer composites manufacturing. 1994;257-323 Elsevier, Amsterdam.
36. Tucker C.L. Heat transfer and reaction issues in liquid composite molding. Polym Compos. 17:(1):1996;60-72.
37. Verfürth R. A review of a posteriori error estimation and adaptive mesh-refinement techniques. 1996;Wiley/Teubner, Chichester/Stuttgart.
38. Young W.B., Rupel K., Han K., Lee L.J., Liou M.J. Simulation and experimental verification of mold filling in resin transfer molding and structural RIM. 45th Annual Conference. 45th Annual Conference. 1990;Composite Institute, The Society of Plastics Industry.
39. Young W.B., Han K., Fong L.H., Lee L.J. Flow simulations in moulds with preplaced fibre mats. Polym Compos. 12:(6):1991;391-403.
40. Zaki A. Simulation numérique des problèmes de convection sur des maillages adaptatifs non structuré du type h-p; PhD Thesis. Department of Mathematics, Ecole Polytechnique de Montréal; 1993.
41. Zienkiewicz O.C., Zhu J.Z. A simple error estimator and adaptive procedure for practical engineering analysis. Int J Numer Meth Engng. 24:1987;335-357.
42. Zienkiewicz O.C., Zhu J.Z. The superconvergent patch recovery and adaptive finite element refinement. Comput Meth Appl Mech Engng. 101:(1-3):1992;207-224.